Found a fun little semi-addictive game this afternoon, a variant on Mine Sweeper. (Linked to an English page at Play This Thing; the actual game is on a Japanese page, but is easy to play anyway) Instead of mines, you’re uncovering monsters of differing levels, and the objective is to not just find them, but to clear the board. There are monsters of level 1, 2, 3, and 4, and the numbers indicate the total levels of the surrounding monsters. You start off at level 1, and can click on level 1 monsters (blue blobby things) with impunity. Uncovering a monster above your level does damage to you (though you do get experience!) and so you have some ability to click around in the beginning.
If you have trouble (as I do) keeping track of your logical deductions, you can hover over covered squares and press the A and D keys to cycle through the different levels of potential monster. (They don’t bother with level 1, because you can always uncover those)